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Given a two-input neuron with the following weight matrix and input vector: W = [3 -2] and p = [-7 7] T , we would

Given a two-input neuron with the following weight matrix and input vector: W = [3 -2] and p = [-7 7] T , we would like to have an output of 0.5. Do you suppose that there is a combination of bias and transfer function that might allow this?

  1. Is there a transfer function from Table 2.1 that will do the job if the bias is zero?
  2. Is there a bias that will do the job if the linear transfer function is used?  If yes, what is it?
  3. Is there a bias that will do the job if a log-sigmoid transfer function is used? Again, if yes, what is it?
  4. Is there a bias that will do the job if a symmetrical hard limit transfer function is used?  Again, if yes, what is it?

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